Using Trig Functions Part II

TL;DR

Given the angle and length of one side, this video demonstrates how to use trigonometric functions to solve for the length of another side in a right triangle.

Transcript

Welcome back. I just want to do a couple more of these problems, just so you, I guess, see a few couple more problems and get some practice. So let's start with another problem. As always, let me draw my triangle. I always like to draw it a little different to confuse you. Let's say that this angle up here is 0.36 radians. An angle is 0.36 radians,... Read More

Key Insights

• 🔺 Trigonometry can be used to solve problems involving right triangles and known angle and side values.
• 🙃 By identifying the known sides and the side being solved for, the appropriate trigonometric function can be selected.
• 🙃 The sine function is used when the known sides are the opposite and hypotenuse.
• 🙃 The tangent and cosine functions can also be used depending on the known sides.

Questions & Answers

Q: What is the angle given in the problem?

The angle given in the problem is 0.36 radians.

Q: What is the side length being solved for?

The side being solved for is the length of the green side in the triangle.

Q: Which trigonometric function should be used for solving this problem?

The opposite and hypotenuse sides are known, so the sine function should be used.

Q: What is the value of the sine of 0.36 radians?

The sine of 0.36 radians is equal to 3 square roots of 73 over 73.

Q: How is the length of the opposite side calculated?

The length of the opposite side is calculated by multiplying the sine of the angle (3 square roots of 73 over 73) by the length of the hypotenuse (square root of 73).

Q: What is the value of the opposite side in this problem?

The length of the opposite side is 3.

Q: What are the other two trigonometric functions mentioned in the video?

The video mentions the tangent function and the cosine function.

Q: How can the length of the adjacent side be calculated using trigonometry?

The length of the adjacent side can be calculated by using either the tangent function (opposite/adjacent) or the cosine function (adjacent/hypotenuse).

Summary & Key Takeaways

• The video explains how to solve a trigonometry problem involving a right triangle with a known angle of 0.36 radians and a side length of square root of 73 units.

• By identifying the known sides and the side being solved for, the appropriate trigonometric function (sine in this case) is determined.

• The sine of the angle is multiplied by the known hypotenuse value (square root of 73) to find the length of the opposite side.